Group orderings, dynamics, and rigidity

Let G be a countable group. We show there is a topological relationship between the space CO(G) of circular orders on G and the moduli space of actions of G on the circle; as well as an analogous relationship for spaces of left orders and actions on the line. In particular, we give a complete characterization of isolated left and circular orders in terms of strong rigidity of their induced actions of G on $S^1$ and R. As an application of our techniques, we give an explicit construction of infinitely many nonconjugate isolated points in the spaces CO(F_{2n}) of circular orders on free groups disproving a conjecture from Baik--Samperton, and infinitely many nonconjugate isolated points in the space of left orders on the pure braid group P_3, answering a question of Navas. We also give a detailed analysis of circular orders on free groups, characterizing isolated orders

Framing Group Projects: Leadership and Style in Small Group Dynamics

The purpose of my Capstone was to look at small group dynamics and the factors that have a profound impact upon them. I used Bryant University’s IDEA Program as the template for my project for, and arena from which I collected my research. The IDEA Program is a three-day ideation and innovation program that all first-year students are required to participate in. I observed, filmed and questioned twenty-five of the first-year students participating in the program. After my research and analysis, I found that there were four factors that greatly influenced the dynamics of a small group, as well as its overall success. Those four factors include leadership style, the ability to play to the strengths of others, comfort with creativity and the detrimental effect of minimal contributors on the group

Graphical Analysis of Social Group Dynamics

Identifying communities in social networks becomes an increasingly important research problem. Several methods for identifying such groups have been developed, however, qualitative analysis (taking into account the scale of the problem) still poses serious problems. This paper describes a tool for facilitating such an analysis, allowing to visualize the dynamics and supporting localization of different events (such as creation or merging of groups). In the final part of the paper, the experimental results performed using the benchmark data (Enron emails) provide an insight into usefulness of the proposed tool.Comment: Fourth International Conference on Computational Aspects of Social Networks, CASoN 2012, Sao Carlos, Brazil, November 21-23, 2012, pp. 41-46; IEEE Computer Society, 201

Dynamics and controls working group summary

The technology status of the dynamics and controls discipline as it applies to energy storage wheel systems was evaluated. No problems were identified for which an adequate solution could not be proposed. Design issues that influence control were addressed. The dynamics and control aspects associated with the energy storage system concept and its various constituent parts, and the control tasks attendant to large, manned spacecraft are discussed

Disentangling dynamics: group sensitivity and supervision

In order to contextualize Altschul's interest in group dynamics we present a brief history of staff group work approaches in the UK and USA. Using case examples, the work of staff group sensitivity and group supervision is described. The difficulties of working in staff groups are highlighted and the antipathy towards group practice is discussed. It is argued that learning about conflict resolution in staff groups prepares nurses for dealing with conflicts in clinical practice. The case for re-invigorating interest in group theory and practice is presented. In presenting our reflections on staff group work, we hope not only to re-kindle the type of interest in groups that inspired Altschul but also to re- present the case that it is ill conceived to attempt the work of mental health nursing without recourse to the supervisory resources of group theory, practice and support. It is through group feedback that mental health nurses and other health professionals can extend their learning about interpersonal relations, achieve quality standardization through peer feedback and reflect on practice in truly collaborative ways (Schon 1983)